Smoothing and perturbation for some fourth order linear parabolic equations in RN

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:412

Article

Quesada, Carlos¹  Rodriguez-Bernal, Anibal^1,2 

[1] Univ Complutense Madrid, Dept Matemat Aplicada, E-28040 Madrid, Spain

[2] CSIC UAM UC3M UCM, Inst Ciencias Matemat, Madrid, Spain

关键词: Bi-Laplacian;    Analytic semigroups;    Perturbation;    Smoothing;    Bessel spaces;    Uniform spaces;   

DOI  :  10.1016/j.jmaa.2013.11.032

来源: Elsevier

【 摘 要 】

We solve some fourth order parabolic equations, obtained from perturbations of the parabolic bi-Laplacian equation, with special focus on smoothing estimates. Several classes of initial data are considered including data in Lebesgue and Bessel-Lebesgue spaces. Robustness and convergence with respect to the perturbation are also obtained. Also, initial data in large uniform Bessel-Lebesgue spaces are considered as well as equations with higher order powers of the Laplacian. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free